Remote Desktop fails to connect

Hi,

I have two Windows 7 computers (say Computer1 and Computer2) joined on the same domain on the same network.
I set up remote desktop on Computer1 PC so that the user can connect to Computer2 and it has been working fine for months. All of a sudden, it stops working. When I click [Connect] button, it asks for the password.
When I enter the password, instead of connecting to Computer2, the remote desktop window comes back on.
Other remote desktop connections to other computers (Computer3, Computer4) still work fine except to this computer. I rebooted both PCs several times, but to no avail.
Can you help?

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